Light neutrino masses from a non-Hermitian Yukawa theory
Light neutrino masses from a non-Hermitian Yukawa theory
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DOI：
10.1088/1742-6596/873/1/012047
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发表时间：
2017-03
期刊：
影响因子：
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通讯作者：
J. Alexandre;C. Bender;P. Millington
中科院分区：
文献类型：
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作者：
J. Alexandre;C. Bender;P. Millington
在PT对称量子力学的背景下，我们首先描述了QED的一个非厄米推广，它既是洛伦兹不变的，又是与么正相一致的。我们证明了该理论的非厄米狄拉克质量矩阵表现出一个例外点，对应于一个有效的无质量理论，该理论的守恒流要么是右手征占主导的，要么是左手征占主导的。在这个启发下，我们能够从厄米和反厄米汤川耦合中构造一个轻狄拉克中微子质量的非厄米模型，这两个耦合都是有序统一的。最后，我们强调了这个模型的潜在现象学含义。
Working within the context of PT-symmetric quantum mechanics, we begin by describing a non-Hermitian extension of QED that is both Lorentz invariant and consistent with unitarity. We show that the non-Hermitian Dirac mass matrix of this theory exhibits an exceptional point, corresponding to an effectively massless theory whose conserved current is either right- or left-chiral dominated. With this inspiration, we are able to construct a non- Hermitian model of light Dirac neutrino masses from Hermitian and anti-Hermitian Yukawa couplings that are both of order unity. We finish by highlighting potential phenomenological implications of this model.